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131414212301140 = 225171291872991883
BaseRepresentation
bin11101111000010101000001…
…011100010101000101010100
3122020022002001101221210020101
4131320111001130111011110
5114211042301322114030
61143254504455343444
736452235455010016
oct3570250134250524
9566262041853211
10131414212301140
11389664aa97873a
12128a4b55981b84
1358433cb7712b2
1424646a61461b6
15102d5ba2c57ca
hex778541715154

131414212301140 has 48 divisors (see below), whose sum is σ = 292205725705152. Its totient is φ = 49473186310656.

The previous prime is 131414212301077. The next prime is 131414212301201. The reversal of 131414212301140 is 41103212414131.

It is a junction number, because it is equal to n+sod(n) for n = 131414212301099 and 131414212301108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42427639 + ... + 45419521.

It is an arithmetic number, because the mean of its divisors is an integer number (6087619285524).

Almost surely, 2131414212301140 is an apocalyptic number.

131414212301140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414212301140 is an abundant number, since it is smaller than the sum of its proper divisors (160791513404012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131414212301140 is a wasteful number, since it uses less digits than its factorization.

131414212301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121096 (or 3121094 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131414212301140 its reverse (41103212414131), we get a palindrome (172517424715271).

The spelling of 131414212301140 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred twelve million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 129187 258374 516748 645935 1291870 2196179 2583740 2991883 4392358 5983766 8784716 10980895 11967532 14959415 21961790 29918830 43923580 50862011 59837660 101724022 203448044 254310055 508620110 1017240220 386512389121 773024778242 1546049556484 1932561945605 3865123891210 6570710615057 7730247782420 13141421230114 26282842460228 32853553075285 65707106150570 131414212301140